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Sternbeck, John; Sohlenius, Gustav; Hallberg, Rolf

doi:10.1023/a:1009680714930

Cited by 71 publications

(84 citation statements)

References 54 publications

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“…Figure 9. Left: −u(q 2 ) from SDE-lattice [20] compared to [19]. Right: The µ-dependence of −u(q 2 ).…”

Section: Discussionmentioning

confidence: 99%

Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson

Papavassiliou¹

2010

Nuclear Physics B - Proceedings Supplements

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The Green's functions of QCD encode important information about the infrared dynamics of the theory. The main non-perturbative tools used to study them are their own equations of motion, known as Schwinger-Dyson equations, and large-volume lattice simulations. We have now reached a point where the interplay between these two methods can be most fruitful. Indeed, the quality of the lattice data is steadily improving, while a recently introduced truncation scheme for the Schwinger-Dyson equations makes their predictions far more reliable. In this talk several of the above points will be reviewed, with particular emphasis on how to enforce the crucial requirement of gauge invariance at the level of the Schwinger-Dyson equations, the detailed mechanism of dynamical gluon mass generation and its implications for the ghost sector, the non-perturbative effective charge of QCD, and the indirect extraction of the Kugo-Ojima function from existing lattice data.

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“…Figure 9. Left: −u(q 2 ) from SDE-lattice [20] compared to [19]. Right: The µ-dependence of −u(q 2 ).…”

Section: Discussionmentioning

confidence: 99%

Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson

Papavassiliou¹

2010

Nuclear Physics B - Proceedings Supplements

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“…From previous lattice experience with gluon propagator it was known (see, e.g., [3]) that gluon curves D(q 2 ) in the 'one-copy' approach may considerably differ for various configurations (cf. the ghost case in the above section).…”

Section: Gribov Noise For the Gluon Propagator With Samentioning

confidence: 99%

“…Analytical investigations (in DysonSchwinger, DSE (see, e.g., [1] and refs. cited therein), and Functional Renormalization Group, FRG (see, e.g., [2]), approaches) have been stimulated, verified and completed with lattice studies (for the papers before 2006, see, e.g., [3]) of the gluon and the ghost propagators. Rather surprisingly it was found that the so-called 'conformal', or 'scaling', solution [4] is not the only possible solution, and another, 'regular', or 'decoupling', solution has been found ( [5,6,7,8]).…”

Section: Introductionmentioning

confidence: 99%

On gluon propagator and Gribov noise in Landau gauge gluodynamics

Bogolubsky¹

2015

Proceedings of XXII International Baldin Seminar on High Energy Physics Problems — PoS(Baldin ISHEPP XXII)

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“…We conclude by observing that since the G form factor can be determined to a good approximation from the available lattice data for the gluon and ghost propagators, Eq. (3.12) allows for a comparison with direct lattice calculations of u [12], and thus for an overall consistency check of the lattice results [11].…”

Section: Two-point Ghost Sector In the Background Landau Gaugementioning

confidence: 99%

IR properties of QCD from the Batalin-Vilkoviski formalism

Binosi¹

2011

Proceedings of the Many Faces of QCD — PoS(FacesQCD)

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The powerful quantization formalism of Batalin and Vilkovisky streamlines the derivation of the complete set of (non-linear) identities arising from the local BRST symmetry of Yang-Mills theories. When applied in the Background Field Method type of gauges, it also gives rise to identities which relate Green's functions involving background fields to Green's functions involving quantum fields. All these identities lie at the core of the recent progress in understanding from the continuum formulation the IR dynamics emerging from lattice simulations. In this talk, we will first review the Batalin-Vilkovisky formalism and then apply it to the problem of extracting the effective charge from the available lattice data.

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Untitled

Cited by 71 publications

References 54 publications

Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson

Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson

On gluon propagator and Gribov noise in Landau gauge gluodynamics

IR properties of QCD from the Batalin-Vilkoviski formalism

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